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Biometrika 1966 53(3-4):391-396; doi:10.1093/biomet/53.3-4.391
© 1966 by Biometrika Trust
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Some effects of fluctuating offspring distributions on the survival of a gene

EDWARD POLLAK

Iowa State University

In this paper we study the fate of a gene that has just been introduced into a large population that is stationary in size. It is assumed that lines descended from two or more genes of this type develop independently of each other. But in contrast to the usual treatment of this subject, offspring distributions are not assumed to stay the same from generation to generation. Particular attantion is paid to two cases: (a) cyclical fluctuation of the offspring distribution, (b) the case in which a new gene has an advantage which is gradually lost as time passes.


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